A modified ordinary differential equation approach in price forecasting

I Georgiev, V Centeno, V Mihova… - Aip conference …, 2022 - pubs.aip.org
For the assets' prices analysis proposed on the financial markets, it is common to use big
amounts of data. By making those observations, the movement of the prices can be …

Numerical simulation of time-fractional diffusion-wave processes applied to communication in bacterial populations

C Kuttler, AG Maslovskaya… - 2021 Days on Diffraction …, 2021 - ieeexplore.ieee.org
The paper proposes a time-fractional diffusion-wave modification of the bacterial
communication model to explore different dynamical regimes of the biological system. The …

Some Properties of the Functions Representable as Fractional Power Series

G Groza, M Jianu, I Mierluş-Mazilu - Mathematics, 2024 - mdpi.com
The α-fractional power moduli series are introduced as a generalization of α-fractional
power series and the structural properties of these series are investigated. Using the …

Validation of Stock Price Prediction Models in the Conditions of Financial Crisis

V Mihova, I Georgiev, E Raeva, S Georgiev, V Pavlov - Mathematics, 2023 - mdpi.com
The distribution laws of various natural and anthropogenic processes in the world around us
are stochastic in nature. The development of mathematics and, in particular, of stochastic …

Approximations for the Caputo derivative (II)

Y Dimitrov, V Todorov, R Miryanov - arXiv preprint arXiv:1604.07188, 2016 - arxiv.org
In the present paper we use the expansion formula of the polylogarithm function to construct
approximations of the Caputo derivative which are related to the midpoint approximation of …